Frequency-Domain Analysis of the Fixed-Phase Reset Control System
Xinxin Zhang (TU Delft - Mechatronic Systems Design)
Hsing Li Hsu (Student TU Delft)
S. Hassan Hosseinnia (TU Delft - Mechatronic Systems Design)
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Abstract
Current reset elements mainly rely on the traditional zero-crossing resetting mechanism. This study introduces a reset element with a new resetting mechanism that distributes multiple resets within a single period for reset controllers with sinusoidal reference inputs. This new control element is termed "Fixed-Phase Reset Control (FPRC)". A higher-order sinusoidal input describing function is developed to analyze the frequency-domain properties of the new controller. The accuracy of this frequency-domain analytical approach is validated through simulations on three systems. Through the analysis, the new FPRC demonstrates phase lead compared to zero-crossing reset control, but it introduces nonlinearities at low frequencies.